FSSA Detects Decade Long Oscillation that MSSA Cannot

The following plot displays the kernel density estimation functional time series results of the NDVI data.

We run FSSA on the NDVI data and obtain the following plots that suggest we should have three groups for reconstruction. The first group used in reconstruction uses only the first component, the second group should use components two and three, and a fourth group that only uses reconstruction four.

We see a periodicity here of the 16 day periods between capturing images from the NDVI data

Here is the reconstruction using only the first components which gives us trend

Here we see oscillatory behavior in reconstruction that used components 2 and 3 which captures the 16 day periodicity

This is the interesting component that captures roughly decade long oscillations in the data. This is not captured by MSSA. The rest are MSSA results that show that MSSA cannot capture this same fourth component of information that FSSA can capture.

Trend

Oscillatory behavior

MSSA doesn’t capture any interesting behavior in components 4 and 5 for decade long changes

MSSA doesn’t capture any interesting behavior in components 6 and 7 for decade long changes